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Finding the Fourth Proportional to 30,742.54, 42,426.28 and 18,802.13

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Solution

The fourth proportional to 30,742.54, 42,426.28 and 18,802.13 is: 25,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.54 : 42,426.28 = 18,802.13 : x
  2. Step 2: Convert to fraction form
    30,742.54/42,426.28 = 18,802.13/x
  3. Step 3: Cross multiply
    30,742.54x = 42,426.28 × 18,802.13
  4. Step 4: Simplify right side
    30,742.54x = 797,704,219.85
  5. Step 5: Solve for x
    x = 797,704,219.85/30,742.54
  6. Step 6: Final answer
    x = 25,947.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.